9.24.13
How To Solve It:
George Polya’s FourStep Method:

Understand the Problem

Devise a Plan

Carry Out the Plan

Look Back
Bicycles and Tricycles
Jacinski’s Hardware has a number of bikes and tricycles for sell. There are 27 seats and 60 wheels all together. Determine how many bikes there are and how many tricycles there are. Please find your answer using at least two different Problem Solving Strategies.
Method 1: I understand that i have to find out how many bikes and tricycles there are.
Tricycle has 3 wheels. Bike has 2 wheels.
B+T=27 2B+3T=60
B=27T 2(27T)+3T=60
B+6=27 542T+T=60
B=21 54+T=60
T=6
Understand the Problem:

Break it into parts.

Do you have all the tools you need?

Enough information

Appropriate skills


Can you draw a picture?

Artistic skill not required

Devise a Plan:

Follow the clues systematically

Use rules of divisibility to limit possibilities, if possible

Use algebraic equations to find digits, if it applies

Draw to give yourself a visual whenever possible

We can do this mathematically using trial and error

We should be able to draw something to
Carry Out the Plan:

First, lets do it algebraically

We know there are 27 seats and 60 wheels

27 seats tells us that is the max amount of bikes we could have

with that being said, we should be able to come up with a chart to help us out
Look Back:

What did i learn from this problem?

Review simple Algebra skills

Organized, local thinking


How can i use it to solve other problems?

Could i have used another method?

Trial and error, maybe (but why?)
